The opening of a railway bridge over a roadway is in the form of a tunnel (a parabola). A surveyor measures the points on the bridge taking xy axes with origin at 0, and the measurement points are (10,25), (15, 35) and (40, 40), which are points on the tunnel, He wishes to find an equation of the form (X + b/2a)^2 = (1/a)(y + ((b^2)/4a) - c), to model the shape of the the parabolic arch. Then Find the standard equation of the parabola after calculating the values of a, b and c.​